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13204312000 = 265311181829
BaseRepresentation
bin11000100110000100…
…11100111111000000
31021002020020112211121
430103002130333000
5204020300441000
610022130122024
7645133541305
oct142302347700
937066215747
1013204312000
115666543050
122686120314
131325808889
148d39510ac
1552435db1a
hex31309cfc0

13204312000 has 224 divisors, whose sum is σ = 35913608640. Its totient is φ = 4769280000.

The previous prime is 13204311947. The next prime is 13204312013. The reversal of 13204312000 is 21340231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15927586 + ... + 15928414.

It is an arithmetic number, because the mean of its divisors is an integer number (160328610).

Almost surely, 213204312000 is an apocalyptic number.

13204312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956804320).

13204312000 is an abundant number, since it is smaller than the sum of its proper divisors (22709296640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13204312000 is a wasteful number, since it uses less digits than its factorization.

13204312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13204312000 its reverse (21340231), we get a palindrome (13225652231).

The spelling of 13204312000 in words is "thirteen billion, two hundred four million, three hundred twelve thousand".